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Stability for some extremal properties of the simplex

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Abstract

Some geometric inequalities for convex bodies, where the equality cases characterize simplices, are improved in the form of stability estimates. The inequalities all deal with covering by homothetic copies.

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  1. Mathematisches Institut, Albert-Ludwigs-Universität, Eckerstr. 1, 79104, Freiburg im Breisgau, Germany

    Rolf Schneider

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  1. Rolf Schneider
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Correspondence to Rolf Schneider.

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Schneider, R. Stability for some extremal properties of the simplex. J. Geom. 96, 135–148 (2009). https://doi.org/10.1007/s00022-010-0028-0

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  • DOI: https://doi.org/10.1007/s00022-010-0028-0

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